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Finding the Third Proportional to 331,391.25 and 686,566.13

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Solution

The third proportional to 331,391.25 and 686,566.13 is: 1,422,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,391.25 : 686,566.13 = 686,566.13 : x
  2. Step 2: Convert to fraction form
    331,391.25/686,566.13 = 686,566.13/x
  3. Step 3: Cross multiply
    331,391.25x = 686,566.13 × 686,566.13
  4. Step 4: Simplify right side
    331,391.25x = 471,373,043,997.52
  5. Step 5: Solve for x
    x = 471,373,043,997.52/331,391.25
  6. Step 6: Final answer
    x = 1,422,406.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.